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Jens Carsten Jantzen (born 18 October 1948, in Störtewerkerkoog, Nordfriesland) is a mathematician working on representation theory and algebraic groups, who introduced the Jantzen filtration, the Jantzen sum formula, and translation functors.
In 2012 he became a fellow of the American Mathematical Society. [1]
His doctoral students include Wolfgang Soergel.
Publications
- Jantzen, Jens Carsten (1979), Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Berlin, New York: Springer-Verlag, doi: 10.1007/BFb0069521, ISBN 978-3-540-09558-3, MR 0552943
- Jantzen, Jens Carsten (1983), Einhüllende Algebren halbeinfacher Lie-Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)] (in German), vol. 3, Berlin, New York: Springer-Verlag, ISBN 978-3-540-12178-7, MR 0721170 [2]
- Jantzen, Jens Carsten (1996), Lectures on quantum groups, Graduate Studies in Mathematics, vol. 6, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0478-0, MR 1359532
- Jantzen, Jens Carsten (2003) [1987], Representations of algebraic groups, Mathematical Surveys and Monographs, vol. 107 (2nd ed.), Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3527-2, MR 2015057 [3]
- with Joachim Schwermer: Algebra, Springer-Lehrbuch, Springer-Verlag, 2006, doi: 10.1007/3-540-29287-X, ISBN 978-3-540-21380-2
- with Walter Borho: Borho, Walter; Jantzen, Jens Carsten (1977). "Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra". Inventiones Mathematicae. 39: 1–53. Bibcode: 1977InMat..39....1B. doi: 10.1007/bf01695950. S2CID 118474214.
References
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
- ^ Vogan jr., David A. (1985). "Review: Einhüllende Algebren halbeinfacher Lie-Algebren, by Jens C. Jantzen" (PDF). Bull. Amer. Math. Soc. (N.S.). 12 (2): 279–283. doi: 10.1090/s0273-0979-1985-15380-7.
- ^ Donkin, Stephen (1989). "Review: Representations of algebraic groups, by Jens Carsten Jantzen (1987)" (PDF). Bull. Amer. Math. Soc. (N.S.). 20 (2): 211–215. doi: 10.1090/s0273-0979-1989-15768-6.
External links
- home page of Jens Carsten Jantzen
- Jens Carsten Jantzen at the Mathematics Genealogy Project
- Pictures from Oberwolfach
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
 | This article about a German mathematician is a stub. You can help Wikipedia by expanding it. |
|
Jens Carsten Jantzen (born 18 October 1948, in Störtewerkerkoog, Nordfriesland) is a mathematician working on representation theory and algebraic groups, who introduced the Jantzen filtration, the Jantzen sum formula, and translation functors.
In 2012 he became a fellow of the American Mathematical Society. [1]
His doctoral students include Wolfgang Soergel.
Publications
- Jantzen, Jens Carsten (1979), Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Berlin, New York: Springer-Verlag, doi: 10.1007/BFb0069521, ISBN 978-3-540-09558-3, MR 0552943
- Jantzen, Jens Carsten (1983), Einhüllende Algebren halbeinfacher Lie-Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)] (in German), vol. 3, Berlin, New York: Springer-Verlag, ISBN 978-3-540-12178-7, MR 0721170 [2]
- Jantzen, Jens Carsten (1996), Lectures on quantum groups, Graduate Studies in Mathematics, vol. 6, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0478-0, MR 1359532
- Jantzen, Jens Carsten (2003) [1987], Representations of algebraic groups, Mathematical Surveys and Monographs, vol. 107 (2nd ed.), Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3527-2, MR 2015057 [3]
- with Joachim Schwermer: Algebra, Springer-Lehrbuch, Springer-Verlag, 2006, doi: 10.1007/3-540-29287-X, ISBN 978-3-540-21380-2
- with Walter Borho: Borho, Walter; Jantzen, Jens Carsten (1977). "Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra". Inventiones Mathematicae. 39: 1–53. Bibcode: 1977InMat..39....1B. doi: 10.1007/bf01695950. S2CID 118474214.
References
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
- ^ Vogan jr., David A. (1985). "Review: Einhüllende Algebren halbeinfacher Lie-Algebren, by Jens C. Jantzen" (PDF). Bull. Amer. Math. Soc. (N.S.). 12 (2): 279–283. doi: 10.1090/s0273-0979-1985-15380-7.
- ^ Donkin, Stephen (1989). "Review: Representations of algebraic groups, by Jens Carsten Jantzen (1987)" (PDF). Bull. Amer. Math. Soc. (N.S.). 20 (2): 211–215. doi: 10.1090/s0273-0979-1989-15768-6.
External links
- home page of Jens Carsten Jantzen
- Jens Carsten Jantzen at the Mathematics Genealogy Project
- Pictures from Oberwolfach
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
|
| This article about a German mathematician is a stub. You can help Wikipedia by expanding it. |